Question

What are two ratios that are equivalent to 27:9

Answer 1

For this case we have the following relationship:
 27:9
 To find two equivalent relationships, what we must do is divide both numbers by a number that is multiple of both.
 We then have to divide by three:
 9:3
 Then, dividing again between three we have:
 3:1
 Answer:
 two ratios that are equivalent to 27:9 are:
 Ratio 1:
 9:3
 Ratio 2:
 3:1

Answer 2

The two ratios that are equivalent to 27:9 are; 1:3 and 3:9.

      To find two ratios that are equivalent to 27:9, we need to first find the factors of 27 and 9 which are;

Factors of 9; 1, 3, 9

Factors of 27; 1, 3, 9, 27

       We can see that 3 is a common factor of both 9 and 27. Thus, let use division property of equality to divide both 9 and 27 by 3 to get;

⁹/₃ : ²⁷/₃

⇒ 3:9

This ratio can still be divide by 3 again to get;

⇒ ³/₃:⁹/₃

= 1:3

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